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Question

ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that

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Solution

Draw a line EF through point O, such that

In ΔADC,

By using basic proportionality theorem, we obtain

In ΔABD,

So, by using basic proportionality theorem, we obtain

From equations (1) and (2), we obtain



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